Question

The median for grouped data is given by:

• A. $l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$
• B. $l-\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$
• C. $l+\left(\frac{\frac{n}{2}+cf}{f}\right)\times h$
• D. $l+\frac{2}{n}$

Answer 1

The correct option is A

$l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$

The median for grouped data is given by the formula is given by
$Median=l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$.

Where $l$ is lower class limit of median class.
$n$ is total number of observations.
$cf$ is the cumulative frequency of the class preceding the median class.
$f$ is the frequency of the median class and h is the class size.